Choose the correct statement:

Options

A. The area of displacement -time graph gives velocity.
B. The slope of velocity-time graph gives acceleration.
C. The slope of displacement-time graph gives acceleration
D. the area of velocity-time graph gives average velocity.

Answer

To solve the question of choosing the correct statement regarding motion in a straight line, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Understand the Graphs**:
- We need to analyze displacement-time and velocity-time graphs.
- The slope and area under these graphs have specific physical meanings.

2. **Analyze the First Statement**:
- **Statement**: "Area of displacement-time graph gives velocity."
- **Analysis**: The slope of the displacement-time graph gives velocity (v = dx/dt), not the area. Therefore, this statement is **incorrect**.

3. **Analyze the Second Statement**:
- **Statement**: "Slope of velocity-time graph gives acceleration."
- **Analysis**: The slope of the velocity-time graph is indeed acceleration (a = dv/dt). Therefore, this statement is **correct**.

4. **Analyze the Third Statement**:
- **Statement**: "Slope of displacement-time graph gives acceleration."
- **Analysis**: The slope of the displacement-time graph gives velocity, not acceleration. Therefore, this statement is **incorrect**.

5. **Analyze the Fourth Statement**:
- **Statement**: "Area of velocity-time graph gives average velocity."
- **Analysis**: The area under the velocity-time graph gives displacement, not average velocity. Therefore, this statement is **incorrect**.

6. **Conclusion**:
- The only correct statement among the four provided is the second statement: "Slope of velocity-time graph gives acceleration."

### Final Answer:
The correct statement is: **"Slope of velocity time graph gives acceleration."**